We have two lines : $$L_1 : a_1x+b_1y+c_1=0,\quad L_2 : a_2x+b_2y+c_2=0$$ and the angle bisectors : $$L_{\pm} : \frac{a_1x+b_1y+c_1}{\sqrt{a_1^2+b_1^2}}=\pm\frac{a_2x+b_2y+c_2}{\sqrt{a_2^2+b_2^2}}$$ If we let $\theta$ be the (smaller) angle between $L_+$ and $L_1$, then we have $$\cos\theta=\frac{\left|a_1\left(\frac{a_1}{\sqrt{a_1^2+b_1^2}}-\frac{ ...
Tomatoes run on warmth; plant in late spring and early summer except in zone 10, where they are a fall and winter crop. Devote a prime, sunny spot to growing tomatoes. Tomatoes need at least 6 to 8 hours of sun to bring out their best flavors.
Do not plant beets when you plant tomatoes, eggplants, pepper, corn and vining crops -- it's too late and the temperatures are way too warm. Beets need about 40 to 50 days of growth before their roots are large enough to start harvesting. Plant beets in fall about 40 days before the expected first frost date.